Timeline for What is a right-handed Dehn twist of a cut curve of a Riemann surface?
Current License: CC BY-SA 2.5
5 events
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Jun 28, 2010 at 10:58 | comment | added | Bugs Bunny | Agree, but it suffices to have an orientation on the normal bundle (on the curve to the surface). | |
Jun 25, 2010 at 11:10 | vote | accept | Jun Lu | ||
Jun 24, 2010 at 15:21 | comment | added | Ben Wieland | That's correct, but it turns out that the answer depends not on the orientation of the curve, but on the orientation of the surface. In particular, "the right side" doesn't make sense unless the surface is also oriented. And it turns out that the isotopy class of the diffeomorphism doesn't depend on the orientation of the curve. This is discussed in the primer Sam Nead linked to. | |
Jun 24, 2010 at 9:23 | history | edited | Bugs Bunny | CC BY-SA 2.5 |
added 36 characters in body
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Jun 24, 2010 at 8:52 | history | answered | Bugs Bunny | CC BY-SA 2.5 |